60117170400 has 864 divisors, whose sum is σ = 259105916160. Its totient is φ = 12809871360.

The previous prime is 60117170383. The next prime is 60117170401. The reversal of 60117170400 is 407171106.

60117170400 is a `hidden beast` number, since 601 + 1 + 7 + 17 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×60117170400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60117170401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64158732 + ... + 64159668.

Almost surely, 2^60117170400 is an apocalyptic number.

60117170400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60117170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129552958080).

60117170400 is an abundant number, since it is smaller than the sum of its proper divisors (198988745760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60117170400 is a wasteful number, since it uses less digits than its factorization.

60117170400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 60117170400 in words is "sixty billion, one hundred seventeen million, one hundred seventy thousand, four hundred".